theory of superposition
1.The formula of the sound field separation technique based on measurement of the three-dimensional acoustic intensity with single holographic plane was established according to the superposition theory of particle velocity and the Euler equation in wave number domain, and the acoustic pressure caused by the sound sources on one side of holographic plane was also obtained.
2.Under the assumption that the Poisson ratio μ is constant and based on the Boltzmann superposition principle, geometric nonlinear equations and the Karman theory, a set of nonlinear dynamic equations for linear viscoelastic thin plates with relaxation clamp is derived. The equations obtained are solved by adopting Galerkin method, and the numeric results of dynamic responses for linear viscoelastic thin plates with relaxation clamp are given.
3.Aimed at the limitation of the traditional three points locating method in measuring data registration, a new idea applied the similarity theory to pattern recognition to the registration of measuring data under different viewpoints is presented, where the curvature extremum points in data superposition area are searched with the gradient method, then the feature points in the curvature extremum points according to the principle of gay similitude in pattern recognition are acquired, and the measuring data registration is carried out at the corresponding feature points.
4.By using the Von Karman thin plate theory and Boltzmann superposition principle, the nonlinear equations of viscoelastic thin plate with damage are derived and denoted by the mid-plane displacements.
5.Using the first order shear deformation theory, Boltzmann superposition principle and Galerkin technique, the nonlinear equations of antisymmetric cross-ply viscoelastic laminated plates with damage are derived.
6.In this paper, based on hypothesis that the Poisson ratio is constant, a problem of nonlinear dynamic bending for isotropic linear viscoelastic laminated plates is formulated, and a set of equations for the problem is established through Boltzmann superposition principle in linear viscoelastic theory, nonlinear geometrical equations and Karman equations.
7.Based on the Timoshenko-Midlin theory and Boltzmann superposition principle, the nonlinear creepdamage equilibrium equations of Orthogonality laminated cylindrical panels with initial imperfection are established and solved by the finite difference and iterative method.
8.This paper presents a new method with driver transformation for the kinematic analysis of the planar mechanisms in high class, based on the Assur group theory and kinematic superposition principle.
9.The quantitative relationship between the Electron Paramagnetic Resonance(EPR)parameters $(D, g-∥, g-⊥)$ and the local structure parameters of Ni+{2+} in Al-2O-3∶Ni+{2+} crystal is established according to the superposition model and perturbation theory.
